This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

Water waves are one of the most common phenomena in nature, the study of which helps in
designing the related industries. In this paper, a generalized (3+ 1 3+ 1)-dimensional B-type …

We study rational solutions of the Boussinesq equation, which is a soliton equation solvable
by the inverse scattering method. These rational solutions, which are algebraically decaying …

Pattern formation in higher-order lumps of the Kadomtsev–Petviashvili I equation at large
time is analytically studied. For a broad class of these higher-order lumps, we show that two …

In this work we derive families of explicit breather solutions of any order to the Kadomtsev–
Petviashvili equation (KPI) and the Boussinesq equation. We employ the Hirota bilinear …

Families of exact explicit nonsingular rational soliton (lump) solutions of any order to the
Kadomtsev–Petviashvili I equation are presented in a compact form. We show that the …

The study of nonlocal nonlinear systems and their dynamics is a rapidly increasing field of
research. In this study, we take a closer look at the extended nonlocal Kadomtsev …

Jones-Roberts solitons are the only known class of stable dark solitonic solutions of the
nonlinear Schrödinger equation in two and three dimensions. They feature a distinctive …

Homogeneous planar superfluids exhibit a range of low-energy excitations that also appear
in highly excited states like superfluid turbulence. In dilute gas Bose-Einstein condensates …

Rogue waves, also known as freak waves, monster waves, killer waves, extreme waves, and
abnormal waves, are unusually large and suddenly appearing surface waves in the sea …